This is an announcement for the paper "A thin-thick decomposition for Hardy martingales" by Paul F. X. Mueller.

Abstract: We prove thin-thick decompositions, for the class of Hardy martingales and thereby strengthen its square function characterization. We apply the underlying method to several classical martingale inequalities, for which we give new proofs .

Archive classification: math.FA

Submitted from: pfxm@bayou.uni-linz.ac.at

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1009.3629

or

http://arXiv.org/abs/1009.3629